Nonselfadjoint Operators and Related Topics

Language: English

Published by Birkhäuser, Birkhäuser Nov 2012, 2012

3034896638 / 9783034896634

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This item is printed on demand - Print on Demand Titel. Neuware -Our goal is to find Grabner bases for polynomials in four different sets of expressions: 1 x- , (1 - x)-1 (RESOL) X, 1 x- (1 - xy)-1 (EB) X, , y-1, (1-yx)-1 y, (1_y)-1 (1-x)-1 (preNF) (EB) plus and (1 - xy)1/2 (1 - yx )1/2 (NF) (preNF) plus and Most formulas in the theory of the Nagy-Foias operator model [NF] are polynomials in these expressions where x = T and y = T\*. Complicated polynomials can often be simplified by applying 'replacement rules'. For example, the polynomial (1 - xy)-2 - 2xy(1-xy)-2 + xy2 (1 - xy)-2 -1 simplifies to O. This can be seen by three applications of the replacement rule (1-xy) -1 xy -t (1 - xy)-1 -1 which is true because of the definition of (1-xy)-1. A replacement rule consists of a left hand side (LHS) and a right hand side (RHS). The LHS will always be a monomial. The RHS will be a polynomial whose terms are 'simpler' (in a sense to be made precise) than the LHS. An expression is reduced by repeatedly replacing any occurrence of a LHS by the corresponding RHS. The monomials will be well-ordered, so the reduction procedure will terminate after finitely many steps. Our aim is to provide a list of substitution rules for the classes of expressions above. These rules, when implemented on a computer, provide an efficient automatic simplification process. We discuss and define the ordering on monomials later.Springer Nature c/o IBS, Benzstrasse 21, 48619 Heek 436 pp. Englisch.…

Seller Inventory # 9783034896634

Title
Nonselfadjoint Operators and Related Topics
Author
A. Feintuch
Publisher
Birkhäuser, Birkhäuser Nov 2012
Publication year
2012
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3034896638
ISBN 13
9783034896634
Item weight
748 grams
Dimensions
244x170x24 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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